Results 11 to 20 of about 3,007,544 (224)

Hyers-Ulam stability of linear quaternion-valued differential equations

Electronic Journal of Differential Equations, 2023
In this article, we study the Hyers-Ulam stability of the first-order linear quaternion-valued differential equations. We transfer a linear quaternion-valued differential equation into a real differential system.
Jiaojiao Lv, Jinrong Wang, R. Liu
semanticscholar   +1 more source

Generalized Hyers–Ulam stability of ρ-functional inequalities

Journal of Inequalities and Applications, 2023
In our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: 0.1 ∥ f ( 2 x + y ) + f ( 2 x − y ) − 2 f ( x + y ) − 2 f ( x − y ) − 12 f ( x ) − ρ ( 4 f ( x + y 2 ) + 4 ( f ( x −
Sundas Nawaz, Abdul Bariq, Afshan Batool, Ali Akgül   +3 more
semanticscholar   +1 more source

Условия Hyers—Ulam—Rassias-устойчивости семейств уравнений [PDF]

, 2017
Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
core   +1 more source

Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

Advances in Differential Equations, 2021
In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the solution to the given coupled system.
S. Etemad, B. Tellab, J. Alzabut, S. Rezapour, M. Abbas   +4 more
semanticscholar   +1 more source

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Advances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad   +3 more
doaj   +1 more source

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

Advances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Stability of a functional equation deriving from cubic and quartic functions [PDF]

, 2008
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A., Gordji, M. Eshaghi, Zolfaghari, S.   +2 more
core   +3 more sources

Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]

, 2006
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
core   +5 more sources

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

AIMS Mathematics, 2021
In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad, Chatthai Thaiprayoon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives

AIMS Mathematics, 2021
In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang, Rizwan Rizwan , Jung Rey Lee, Akbar Zada , Syed Omar Shah   +4 more
doaj   +1 more source